%3Cp%3E%3Cspan%20class%3D%22c1%22%3ESuppose%20an%20%22infinitely%20long%22%20wir
ID: 3899736 • Letter: #
Question
%3Cp%3E%3Cspan%20class%3D%22c1%22%3ESuppose%20an%20%22infinitely%20long%22%20wire%20carrying%0Acurrent%20%3C%2Fspan%3E%3Ci%20class%3D%22c2%22%3EI%3C%2Fi%3E%3Cspan%20class%3D%0A%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E734%3Cspan%20class%3D%22c1%22%3E%26nbsp%3Bruns%20through%20the%0Acenter%20of%20an%20%22infinitely%20long%22%20square%20coil%2C%0Aside%26nbsp%3B%3C%2Fspan%3E%3Ci%20class%3D%22c2%22%3Ea%3C%2Fi%3E%3Cspan%20class%3D%0A%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E6.26%3Cspan%20class%3D%0A%22c1%22%3E%26nbsp%3Bcm%2C%26nbsp%3B%3C%2Fspan%3E%3Ci%20class%3D%22c2%22%3En%3C%2Fi%3E%3Cspan%20class%3D%0A%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E50.6%3Cspan%20class%3D%22c1%22%3E%26nbsp%3Bturns%2Fcm%20and%0Acarrying%20current%26nbsp%3B%3C%2Fspan%3E%3Ci%20class%3D%22c2%22%3EI%3C%2Fi%3E%3Cspan%20class%3D%0A%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E480%3Cspan%20class%3D%22c1%22%3E%26nbsp%3BA.%0A(%3C%2Fspan%3E%3Cspan%20class%3D%22c3%22%3E%3F%3C%2Fspan%3E%3Csub%20class%3D%0A%22c4%22%3Eo%3C%2Fsub%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3B%3D%201.26x10%3C%2Fspan%3E%3Csup%20class%3D%0A%22c5%22%3E-6%3C%2Fsup%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3BH%2Fm)%0AFind%3A%26nbsp%3B%3C%2Fspan%3E%3Cbr%20class%3D%22c6%22%20%2F%3E%0A%3Cspan%20class%3D%22c1%22%3E-%20the%20magnitude%20of%20the%20force%20exerted%20by%20the%20coil%0Aon%20each%20meter%20of%20the%20wire%3A%26nbsp%3B%3C%2Fspan%3E%3Ci%20class%3D%0A%22c2%22%3EF%3C%2Fi%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E%3Cspan%20class%3D%0A%22qTextField%20c1%22%3E%3Cinput%20type%3D%22text%22%20name%3D%22RN_1245403_2_0_1246504%22%0Avalue%3D%22%22%20size%3D%2210%22%20id%3D%22RN_1245403_2_0_1246504%22%20dir%3D%22ltr%22%20class%3D%0A%22c7%22%20%2F%3E%3C%2Fspan%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3B%3C%2Fspan%3E%3Cspan%20class%3D%0A%22c1%22%3EN%2Fm%26nbsp%3B%3C%2Fspan%3E%3Cbr%20class%3D%22c6%22%20%2F%3E%0A%3Cspan%20class%3D%22c1%22%3E-%20the%20magnitude%20of%20the%20force%20exerted%20by%20the%20wire%0Aon%20each%20meter%20of%20the%20coil%3A%26nbsp%3B%3C%2Fspan%3E%3Ci%20class%3D%0A%22c2%22%3EF%3C%2Fi%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3B%3D%26nbsp%3B%3C%2Fspan%3E%3Cspan%20class%3D%0A%22qTextField%20c1%22%3E%3Cinput%20type%3D%22text%22%20name%3D%22RN_1245403_2_1_1246504%22%0Avalue%3D%22%22%20size%3D%2210%22%20id%3D%22RN_1245403_2_1_1246504%22%20dir%3D%22ltr%22%20class%3D%0A%22c7%22%20%2F%3E%3C%2Fspan%3E%3Cspan%20class%3D%22c1%22%3E%26nbsp%3B%3C%2Fspan%3E%3Cspan%20class%3D%0A%22c1%22%3EN%2Fm%26nbsp%3B%3C%2Fspan%3E%3C%2Fp%3E%0AExplanation / Answer
magnetic field at the cnetre of square coil is B = n u0i * 2sqrt2/(Pi a)
B = 50600* 4pi*10^-7 * 480 * 2*1.414/3.14*0.0626
B = 438.819 T
magnetic force on coil per length F/L = I B = 734 * 438.819 = 3.22*10^6 N/m
magnetic force on wire per length F/L = I B = 734 * 438.819 = -3.22*10^6 N/m
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